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Sally and Mike are playing frisbee at the beach. When Sally throws the frisbee the probability...

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Statistics

Sally and Mike are playing frisbee at the beach. When Sallythrows the frisbee the probability is 0.14 that it comes back toSally, the probability is 0.7 that it goes to Mike, and theprobability is 0.16 that the dog runs away with the frisbee. WhenMike throws the frisbee there is a 0.66 probability that Sally getsit, a 0.28 probability that it comes back to Mike, and a 0.06probability that the dog runs away with the frisbee. Treat this asa 3--state Markov Chain with the dog being an absorbing state. IfMike has the frisbee, what is the expected value for the number oftimes Mike will throw the frisbee before the dog gets it? (Giveyour answer correct to 2 decimal places.)

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